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Discriminant Analysis
17 Observations 16 DF Total
4 Variables 14 DF Within Classes
3 Classes 2 DF Between Classes
Class Level Information
Prior
G Frequency Weight Proportion Probability
1 7 7.0000 0.411765 0.333333
2 4 4.0000 0.235294 0.333333
3 6 6.0000 0.352941 0.333333
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Discriminant Analysis Pooled Covariance Matrix Information
Covariance Natural Log of the Determinant
Matrix Rank of the Covariance Matrix
4 17.8289259
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Discriminant Analysis Pairwise Generalized Squared Distances Between Groups
2 _ _ -1 _ _
D (i|j) = (X - X )' COV (X - X )
i j i j
Generalized Squared Distance to G
From G 1 2 3
1 0 6.10523 12.89173
2 6.10523 0 1.34012
3 12.89173 1.34012 0
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Discriminant Analysis Linear Discriminant Function
_ -1 _ -1 _
Constant = -.5 X' COV X Coefficient Vector = COV X
j j j
G
1 2 3
CONSTANT -222.41777 -198.43738 -188.99997
X1 -0.07387 -0.04477 -0.03956
X2 -19.41173 -18.09747 -17.45729
X3 4.54927 4.66069 4.72033
X4 1.58220 1.41404 1.33662
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Discriminant Analysis Classification Summary for Calibration Data: WORK.EX18_4
Resubstitution Summary using Linear Discriminant Function
Generalized Squared Distance Function: Posterior Probability of Membership in each G:
2 _ -1 _ 2 2
D (X) = (X-X )' COV (X-X ) Pr(j|X) = exp(-.5 D (X)) / SUM exp(-.5 D (X))
j j j j k k
Number of Observations and Percent Classified into G:
From G 1 2 3 Total
1 6 1 0 7
85.71 14.29 0.00 100.00
2 0 4 0 4
0.00 100.00 0.00 100.00
3 1 0 5 6
16.67 0.00 83.33 100.00
Total 7 5 5 17
Percent 41.18 29.41 29.41 100.00
Priors 0.3333 0.3333 0.3333
Error Count Estimates for G:
1 2 3 Total
Rate 0.1429 0.0000 0.1667 0.1032
Priors 0.3333 0.3333 0.3333
